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November 2016 Ruelle zeta functions for finite dynamical systems and Koyama-Nakajima’s $L$-functions
Yukihiro Hattori, Hideaki Morita
Proc. Japan Acad. Ser. A Math. Sci. 92(9): 107-111 (November 2016). DOI: 10.3792/pjaa.92.107

Abstract

A complex reflection determines an $L$-function which is a generalization of the Artin-Mazur zeta function associated with an element of the symmetric group. The present paper shows that the $L$-function is the Ruelle zeta function associated with a weighted $\mathbf{Z}$-dynamical system.

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Yukihiro Hattori. Hideaki Morita. "Ruelle zeta functions for finite dynamical systems and Koyama-Nakajima’s $L$-functions." Proc. Japan Acad. Ser. A Math. Sci. 92 (9) 107 - 111, November 2016. https://doi.org/10.3792/pjaa.92.107

Information

Published: November 2016
First available in Project Euclid: 2 November 2016

zbMATH: 06705715
MathSciNet: MR3567595
Digital Object Identifier: 10.3792/pjaa.92.107

Subjects:
Primary: 05C50 , 11M41

Keywords: complex reflections , Finite dynamical systems , Koyama-Nakajima’s $L$-functions , Ruelle zeta functions

Rights: Copyright © 2016 The Japan Academy

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Vol.92 • No. 9 • November 2016
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